1. 12in (1ft)+X=28in
2. 6in.+X=42
3. 170.5sq.ft./15.5=x
4. 120ft/12ft=x10sec.
Answer:
Step-by-step explanation:
Answer: ![\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}](https://tex.z-dn.net/?f=%5Cbold%7Ba%29%5Cquad%2090%5Csqrt2%5Cqquad%20%5Cqquad%20b%29%5Cquad%2045%5Csqrt2%7D)
<u>Step-by-step explanation:</u>
Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.
![90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}](https://tex.z-dn.net/?f=90%5E2%2B90%5E2%3Dc%5E2%5C%5C8100%2B8100%3Dc%5E2%5C%5C16200%3Dc%5E2%5C%5C%5Csqrt%7B16200%7D%3Dc%5C%5C%5Cboxed%7B90%5Csqrt2%7D%3Dc%5Cqquad%20%5Cqquad%20%5Ctext%7Bwhich%20is%20approximately%20127.28%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BHalfway%20between%20home%20plate%20and%202nd%20base%20means%20divide%20that%20length%20by%202%3A%7D%5C%5C%5C%5C%5Cdfrac%7B90%5Csqrt2%7D%7B2%7D%3D%5Cboxed%7B45%5Csqrt2%7D)
Converting everything to decimals:
0.25 inch, 0.5 inch, 0.4 inch
Ordering:
0.25, 0.4, 0.5
Converting the appropriate numbers back to fractions:
1/4,10/25,0.5.
Answer:
m - i = r
Step-by-step explanation:
In this question, you are solving for "r".
Solve:
M= i + r
We have to get "r" by itself, so subtract "i" from both sides.
m - i = r
Since we found what "r" is, we can't solve any further.
m - i = r would be your answer.